Landau pole in the Standard Model with weakly interacting scalar fields
Landau pole in the Standard Model with weakly interacting scalar fields
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DOI：
10.1016/j.physletb.2015.05.072
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发表时间：
2015-05
影响因子：
4.4
通讯作者：
Yuta Hamada;Kiyoharu Kawana;K. Tsumura
中科院分区：
文献类型：
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作者：
Yuta Hamada;Kiyoharu Kawana;K. Tsumura
摘要考虑了具有新标量场X的标准模型，该标量场X是带超荷Y X的SU (2) L的n X表示，并评估了重整化群运行对新标量四次耦合常数的影响。即使我们在新的标量场尺度下将标量四次耦合常数设置为零，耦合常数仍然是由弱规范玻色子的单环效应引起的。一旦产生非消失耦合，由于四次耦合常数本身的重整化群效应，耦合迅速增加。因此，当n X≥4时，朗道极出现在普朗克尺度以下。我们发现得到的朗道极的尺度远低于通过求解规范耦合常数的单回路beta函数得到的尺度。
Abstract We consider the Standard Model with a new scalar field X which is an n X representation of the SU (2) L with a hypercharge Y X. The renormalization group running effects on the new scalar quartic coupling constants are evaluated. Even if we set the scalar quartic coupling constants to be zero at the scale of the new scalar field, the coupling constants are induced by the one-loop effect of the weak gauge bosons. Once non-vanishing couplings are generated, the couplings rapidly increase by renormalization group effect of the quartic coupling constant itself. As a result, the Landau pole appears below Planck scale if n X≥ 4. We find that the scale of the obtained Landau pole is much lower than that evaluated by solving the one-loop beta function of the gauge coupling constants.